The observed wavelength of a spectral line from a nearby star is 3.33 x 10^-7 m. This spectral line should have a wavelength of 3.75 x 10^-7 m. Therefore this star has a velocity of ____ km/s.

Respuesta :

Use derived spectral line formula

[tex]\\ \rm\Rrightarrow \delta v=c\dfrac{\delta \lambda}{\lambda}[/tex]

[tex]\\ \rm\Rrightarrow \delta v=3\times 10^8\times \dfrac{(3.75-3.33)\times 10^{-7}}{3.33\times 10^{-7}}[/tex]

[tex]\\ \rm\Rrightarrow \delta v=3\times 10^8\times \dfrac{0.42}{3.33}[/tex]

[tex]\\ \rm\Rrightarrow \delta v=3\times 10^8\times 0.1261[/tex]

[tex]\\ \rm\Rrightarrow \delta v=0.3783\times 10^8[/tex]

[tex]\\ \rm\Rrightarrow \delta v=3.8\times 10^7[/tex]

[tex]\\ \rm\Rrightarrow v=3.8\times 10^4km/s[/tex]